Geometry in a Frchet Context (Paperback)

C.T.J. Dodson

ISBN 10: 1316601951 / ISBN 13: 9781316601952

Editore: Cambridge University Press, Cambridge, 2015

Paperback. Many geometrical features of manifolds and fibre bundles modelled on Frechet spaces either cannot be defined or are difficult to handle directly. This is due to the inherent deficiencies of Frechet spaces; for example, the lack of a general solvability theory for differential equations, the non-existence of a reasonable Lie group structure on the general linear group of a Frechet space, and the non-existence of an exponential map in a FrechetLie group. In this book, the authors describe in detail a new approach that overcomes many of these limitations by using projective limits of geometrical objects modelled on Banach spaces. It will appeal to researchers and graduate students from a variety of backgrounds with an interest in infinite-dimensional geometry. The book concludes with an appendix outlining potential applications and motivating future research. Aimed at researchers and graduate students, this book presents a new approach to studying Frechet geometry which overcomes deficiencies of the Frechet space theory, such as the lack of a general solvability theory for differential equations. The book concludes with a series of open problems and suggestions for further research. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781316601952

Riassunto:

A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.

Informazioni sugli autori: C. T. J. Dodson is Emeritus Professor of Mathematics at the University of Manchester.

George Galanis is Associate Professor in the Section of Mathematics at the Hellenic Naval Academy in Piraeus, Greece.

Efstathios Vassiliou is a former Associate Professor in the Department of Mathematics at the University of Athens. Since his retirement he has been a staff member in the postgraduate program on Didactics and Methodology of Mathematics in the same department.

Dati bibliografici

Titolo: Geometry in a Frchet Context (Paperback)
Casa editrice: Cambridge University Press, Cambridge
Data di pubblicazione: 2015
Legatura: Paperback
Condizione: new